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Finding the Third Proportional to 384,776 and 524,170

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Solution

The third proportional to 384,776 and 524,170 is: 714,062.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,776 : 524,170 = 524,170 : x
  2. Step 2: Convert to fraction form
    384,776/524,170 = 524,170/x
  3. Step 3: Cross multiply
    384,776x = 524,170 × 524,170
  4. Step 4: Simplify right side
    384,776x = 274,754,188,900
  5. Step 5: Solve for x
    x = 274,754,188,900/384,776
  6. Step 6: Final answer
    x = 714,062.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.